Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 21443a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21443.a1 | 21443a1 | \([1, 1, 1, -5, 6]\) | \(-13997521/21443\) | \(-21443\) | \([]\) | \(2912\) | \(-0.47738\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21443a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 21443a do not have complex multiplication.Modular form 21443.2.a.a
sage: E.q_eigenform(10)